Nuprl Lemma : decidable__run-lt
∀[M:Type ─→ Type]
∀r:pRunType(P.M[P])
∀e1,e2:runEvents(r). Dec(e1 run-lt(r) e2) supposing ∀e:runEvents(r). fst(fst(run-info(r;e))) < run-event-step(e)
Proof
Definitions occuring in Statement :
run-lt: run-lt(r),
run-event-step: run-event-step(e),
runEvents: runEvents(r),
run-info: run-info(r;e),
pRunType: pRunType(T.M[T]),
less_than: a < b,
decidable: Dec(P),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
infix_ap: x f y,
so_apply: x[s],
pi1: fst(t),
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
member-less_than,
run-info_wf,
Id_wf,
pMsg_wf,
run-event-step_wf,
nat_wf,
runEvents_wf,
decidable__rel_plus,
decidable__equal_runEvents,
run-pred_wf,
well-founded-run-pred,
finite-run-pred,
decidable__run-pred,
all_wf,
less_than_wf,
pRunType_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}r:pRunType(P.M[P])
\mforall{}e1,e2:runEvents(r). Dec(e1 run-lt(r) e2)
supposing \mforall{}e:runEvents(r). fst(fst(run-info(r;e))) < run-event-step(e)
Date html generated:
2015_07_23-AM-11_15_25
Last ObjectModification:
2015_01_29-AM-00_05_32
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